Properties of addition

What you'll learn

• Evaluate exponential functions of the form f(x) = ab^x for given values of x, demonstrating accurate calculation and adherence to the order of operations, achieving 80% accuracy on a formative assessment.
• Solve real-world problems involving exponential growth or decay by formulating an exponential function model from given data (initial value, growth/decay rate) and using it to predict values, with successful application in at least 2 out of 3 word problems.
• Explain the impact of the base (b) and coefficient (a) on the graph of an exponential function, distinguishing between exponential growth (b > 1) and decay (0 < b < 1) and correctly identifying these characteristics in at least 4 out of 5 given functions.
• Explain the relationship between the base 'b' of an exponential function and whether the function represents exponential growth or decay, providing a clear rationale supported by examples for at least three distinct values of 'b'.